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Finding the Fourth Proportional to 3,858.94, 5,784.96 and 2,472.68

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Solution

The fourth proportional to 3,858.94, 5,784.96 and 2,472.68 is: 3,706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.94 : 5,784.96 = 2,472.68 : x
  2. Step 2: Convert to fraction form
    3,858.94/5,784.96 = 2,472.68/x
  3. Step 3: Cross multiply
    3,858.94x = 5,784.96 × 2,472.68
  4. Step 4: Simplify right side
    3,858.94x = 14,304,328.70
  5. Step 5: Solve for x
    x = 14,304,328.70/3,858.94
  6. Step 6: Final answer
    x = 3,706.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.